Ultragraphs and shift spaces over infinite alphabets
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Publication:503978
DOI10.1016/j.bulsci.2016.10.002zbMath1373.37032arXiv1510.04649OpenAlexW2963762862MaRDI QIDQ503978
Daniel Gonçalves, Danilo Royer
Publication date: 24 January 2017
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.04649
partial crossed productultragraph \(C^\ast\)-algebrainfinite alphabetone-sided shift spacesymbolic dynamic
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Related Items (18)
KMS states and continuous orbit equivalence for ultragraph shift spaces with sinks ⋮ TWO-SIDED SHIFT SPACES OVER INFINITE ALPHABETS ⋮ The interplay between Steinberg algebras and skew rings ⋮ Realizing ultragraph Leavitt path algebras as Steinberg algebras ⋮ On the ideals of ultragraph Leavitt path algebras ⋮ On ultragraph Leavitt path algebras with finite Gelfand-Kirillov dimension ⋮ SIMPLICITY AND CHAIN CONDITIONS FOR ULTRAGRAPH LEAVITT PATH ALGEBRAS VIA PARTIAL SKEW GROUP RING THEORY ⋮ Li-Yorke chaos for ultragraph shift spaces ⋮ KMS and ground states on ultragraph \( C^*\)-algebras ⋮ Continuous shift commuting maps between ultragraph shift spaces ⋮ Recent developments around partial actions ⋮ Ultragraph algebras via labelled graph groupoids, with applications to generalized uniqueness theorems ⋮ Representations and the reduction theorem for ultragraph Leavitt path algebras ⋮ Ultragraph shift spaces and chaos ⋮ Purely infinite simple ultragraph Leavitt path algebras ⋮ Irreducible and permutative representations of ultragraph Leavitt path algebras ⋮ Simplicity of skew inverse semigroup rings with applications to Steinberg algebras and topological dynamics ⋮ The dynamics of partial inverse semigroup actions
Cites Work
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- \((M + 1)\)-step shift spaces that are not conjugate to \(M\)-step shift spaces
- Sliding block codes between shift spaces over infinite alphabets
- Simplicity of ultragraph algebras
- Ultragraph C*-algebras via topological quivers
- TWO-SIDED SHIFT SPACES OVER INFINITE ALPHABETS
- A note on the definition of sliding block codes and the Curtis-Hedlund-Lyndon Theorem
- One-sided shift spaces over infinite alphabets
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